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42878993370120 = 2335529314907029
BaseRepresentation
bin10011011111111100010110…
…01010110000110000001000
312121211012011202212120200000
421233332023022300300020
521110012134300320440
6231110200531443000
712013622266652325
oct1157761312606010
9177735152776600
1042878993370120
11127319739a4806
1249862a0156460
131ac06194c150b
14a834d64b3b4c
154e55aae19730
hex26ff8b2b0c08

42878993370120 has 384 divisors, whose sum is σ = 154324130688000. Its totient is φ = 10683973923840.

The previous prime is 42878993370119. The next prime is 42878993370137. The reversal of 42878993370120 is 2107339987824.

42878993370120 is a `hidden beast` number, since 4 + 2 + 87 + 89 + 93 + 370 + 1 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6284766 + ... + 11191794.

It is an arithmetic number, because the mean of its divisors is an integer number (401885757000).

Almost surely, 242878993370120 is an apocalyptic number.

42878993370120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42878993370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77162065344000).

42878993370120 is an abundant number, since it is smaller than the sum of its proper divisors (111445137317880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42878993370120 is a wasteful number, since it uses less digits than its factorization.

42878993370120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907115 (or 4907099 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 42878993370120 in words is "forty-two trillion, eight hundred seventy-eight billion, nine hundred ninety-three million, three hundred seventy thousand, one hundred twenty".